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. 2021 Mar 9;16(3):e0241654. doi: 10.1371/journal.pone.0241654

Fig 8. Controller performance with first-order autocatalysis in C (Eq 9) and exponential increase of k1.

Fig 8

Phase 1: the controller is at steady state at its set-point Aset = 5.0 with constant k1 = 2.0. Initial concentrations: A0 = 5.0, E0 = 0.9, C0 = 1.0. Phase 2: k1 increases exponentially (left panel of Fig 3), k2 = 1 × 105, k3 = 5 × 102, k4 = 1 × 102, k5 = 10.0, and k6 = 1.0. KM = 1 × 10−6, KI = 0.1, n = 4 (Eq 6). Left panel: k1 and C as a function of time; right panel: A and E as a function of time.